On restoring of the pre-stressed state in elastic bodies

被引：15
|
作者：
Dudarev, Vladimir V. [1 ]
Vatulyan, Alexander O. [1 ]
机构：
[1] So Fed Univ, Rostov Na Donu 344090, Russia
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
Residual stresses; inverse problem; inhomogeneous prestressed state; rod; strip; ill-posed problem; RESIDUAL-STRESS MEASUREMENT; RECONSTRUCTION;
D O I：
10.1002/zamm.201000186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This research is devoted to the development of theoretical foundations for identification of an essentially inhomogeneous prestressed state by analyzing the gain-frequency characteristic of boundary points of the body. The proposed scheme to the reconstruction of inhomogeneous prestresses is constructed on the iterative processes. It includes the finite element solution of the direct problem and the regularizing procedure to solve the Fredholm integral equation of the first kind in the inverse problem. In the series of one-dimensional model examples it was shown that this scheme is effective. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：485 / 492
页数：8
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